Chapter 3.2, Problem 3CYU

To determine

To find: The zero of a given function $f\left(x\right)=4x-2$ by graphing.

Answer to Problem 3CYU

The required zero of the given function $f\left(x\right)=4x-2$ is $\frac{1}{2}$ .

Explanation of Solution

Given information:

The given function $f\left(x\right)=4x-2$

Calculation:

Make a table to graph the function.

$x$	$f\left(x\right)=4x-2$	$f\left(x\right)$	$\left(x,f\left(x\right)\right)$
$-1$	$f\left(-1\right)=4\left(-1\right)-2$	$-6$	$\left(-1,-6\right)$
$0$	$f\left(0\right)=4\cdot 0-2$	$-2$	$\left(0,-2\right)$
$1$	$f\left(1\right)=4\cdot 1-2$	$2$	$\left(1,2\right)$

The graph intersects the x-axis at $\frac{1}{2}$ . So, the zero is $\frac{1}{2}$ .